471601920 has 144 divisors (see below), whose sum is σ = 1516419072. Its totient is φ = 124907520.

The previous prime is 471601909. The next prime is 471601931. The reversal of 471601920 is 29106174.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (471601909) and next prime (471601931).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 733119 + ... + 733761.

It is an arithmetic number, because the mean of its divisors is an integer number (10530688).

Almost surely, 2^471601920 is an apocalyptic number.

471601920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 471601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758209536).

471601920 is an abundant number, since it is smaller than the sum of its proper divisors (1044817152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

471601920 is a wasteful number, since it uses less digits than its factorization.

471601920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 471601920 is about 21716.3974912968. The cubic root of 471601920 is about 778.3803340375.

The spelling of 471601920 in words is "four hundred seventy-one million, six hundred one thousand, nine hundred twenty".